Shoot the accutips. Or Hornady SST if you can't find accutips. I am 99.9% certain that the AT and SST is the same bullet.
Teach Deer is correct about the bullets not blowing up. Don't worry one bit that the accutip isn't tough enough to punch through a deers shoulder at close range. There is no reason at all to shoot a bonded core bullet at deer sized animals unless you just like to spend extra money.